Neuler: Papers on Operator Splitting / Primal-Dual — Found 2026-04-09

Prepared by worker for Neuler library addition (Splitting project / PhD).
Relevance: РНФ 23-11-00229-П grant, Splitting paper (candidate for OPTIMA 2026), PhD Ch.3.

Papers Found (2023–2025)

1. OptimizationOnline 2024/10 [HIGH PRIORITY]

Title: A stochastic primal-dual splitting algorithm with variance reduction for composite optimization problems
URL: https://optimization-online.org/2024/10/a-stochastic-primal-dual-splitting-algorithm-with-variance-reduction-for-composite-optimization-problems/
Year: Oct 2024
Why relevant: Combines operator splitting + variance reduction (bridges both research topics). Infimal convolution, Hilbert spaces, almost-sure convergence. Direct overlap with PhD and Splitting project.
Note: May be arXiv preprint — search “stochastic primal-dual splitting variance reduction Hilbert 2024” on arXiv to find DOI.

2. ScienceDirect S0957417424028884

Title: A stochastic primal–dual algorithm for composite optimization with a linear operator
Journal: Expert Systems with Applications (Elsevier), 2024
URL: https://www.sciencedirect.com/science/article/abs/pii/S0957417424028884
Year: 2024
Why relevant: Three-function composite + linear operator — standard splitting framework. Convergence in general convex setting. Citable for splitting survey.
Neuler query: neuler_library_add(doi="10.1016/j.eswa.2024.XXXXXX") — verify DOI from journal page.

3. arXiv:2208.01631v3 (updated 2024)

Title: Stochastic Primal-Dual Three Operator Splitting Algorithm with Extension to Equivariant Regularization-by-Denoising
URL: https://arxiv.org/abs/2208.01631
Published: Springer LNCS chapter 2025 (Scale Space and Variational Methods)
Why relevant: TOS-SPDHG = direct extension of SPDHG to 3-operator splitting. Published in proceedings 2025. Strong theory + applied imaging extension.
Neuler query: neuler_library_add(doi="arXiv:2208.01631")

4. Springer OL 2023 (s11590-023-01983-0)

Title: The operator splitting schemes revisited: primal-dual gap and degeneracy reduction by a unified analysis
Journal: Optimization Letters, Springer, 2024
DOI: 10.1007/s11590-023-01983-0
URL: https://link.springer.com/article/10.1007/s11590-023-01983-0
Why relevant: Unified proximal point analysis of splitting schemes, primal-dual gap bounds. Directly relevant to PhD convergence theory chapters.
Neuler query: neuler_library_add(doi="10.1007/s11590-023-01983-0")

How to Add to Neuler

When neuler MCP tools are available (interactive session):

neuler_scout("operator splitting primal-dual composite optimization convergence 2024")
neuler_library_add(doi="10.1007/s11590-023-01983-0")
neuler_library_add(doi="arXiv:2208.01631")

For Elsevier papers: confirm DOI from journal page first (PII ≠ DOI).

Status

• Added to Neuler library (requires interactive session with neuler MCP)
• Search performed: 2026-04-09 03:15 MSK